In the expression: 4x2−2x+14x2−2x+1 (2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. How many terms are there?Response area What is the leading coefficient of the first term? Response area .

Answer 1

To analyze the expression \(4x^2 - 2x + 14x^2 - 2x + 1\), let's simplify it and answer the questions step by step.

1. Simplify the Expression: Combine like terms: \[ 4x^2 + 14x^2 - 2x - 2x + 1 = (4x^2 + 14x^2) + (-2x - 2x) + 1 = 18x^2 - 4x + 1 \]

2. Counting the Terms: The simplified expression is \(18x^2 - 4x + 1\). This polynomial has three distinct terms: \(18x^2\), \(-4x\), and \(1\). Therefore, the number of terms is 3.

3. Identifying the Leading Coefficient: The leading term of a polynomial is the term with the highest degree. In this case, the leading term is \(18x^2\). The coefficient in this term is \(18\), so the leading coefficient is 18.

Summary Answers:

• How many terms are there?: 3
• What is the leading coefficient of the first term?: 18